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Finding the Third Proportional to 12,855,336,215,648 and 27,755,677,062,855

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Solution

The third proportional to 12,855,336,215,648 and 27,755,677,062,855 is: 59,926,679,185,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855,336,215,648 : 27,755,677,062,855 = 27,755,677,062,855 : x
  2. Step 2: Convert to fraction form
    12,855,336,215,648/27,755,677,062,855 = 27,755,677,062,855/x
  3. Step 3: Cross multiply
    12,855,336,215,648x = 27,755,677,062,855 × 27,755,677,062,855
  4. Step 4: Simplify right side
    12,855,336,215,648x = 770,377,609,217,495,201,193,394,176
  5. Step 5: Solve for x
    x = 770,377,609,217,495,201,193,394,176/12,855,336,215,648
  6. Step 6: Final answer
    x = 59,926,679,185,548.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.